Merced College; Don Power

 

 

MATH 2 – STUDY GUIDE FOR CHAPTER 6

 

6.1       Solve a 2X2 system with fractions (x and y in the denominator)

            See Example 7

 

6.1A    Solve a non-linear system by substitution (Exercises 1-9)

 

6.2       Solve a 3X3 system of equations (take-home question)

 

6.3       Translate a 3X3 system into a matrix and solve by Gaussian elimination

            See Example 1 and Exercises 13, 15

 

6.4       (1)  Given a matrix A and a matrix B, use your calculator to find the product A*B (if the product is defined

 

6.4       (2)  Given a square system of equation (3 equations in 3 unknowns; 4 equations in 4 unknowns, etc.)  interpret the system as the matrix equation AX = B and solve; that is

                        (a)        Write the matrix A

                        (b)        Write the matrix X

                        (c)        Write the matrix B

                        (d)       Use your calculator to find the inverse matrixA−1.
                        Convert to fractions if necessary.

                        (e)        Use your calculator to multiply to find the solution X = A−1B

           

            Examples 6, 7;  Exercises 25, 29, 33

 

6.4A    Perform matrix addition, subtraction, scalar multiplication and matrix multiplication

            Exercises 1, 5, 13, 17              (no calculator)

 

 

 

Return to:  Merced College; Don Power               Updated 11/28/05 by Don Power